λ
Sequence Observatory

7,476,509

1583 × 4723
Deficient Odd Composite

Starting at 7,476,509, the Collatz iteration reaches 1 after 134 steps. The first transition is 22429528; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1583 × 4723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,482,816
Proper Divisor Sum 6,307
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7476499 ← → #7476527

Radix Representation

Decimal 7476509
Binary 11100100001010100011101 (23 bits)
Octal 0o34412435
Hexadecimal 0x72151D

Divisor Catalog (4)

1 1,583 4,723 7,476,509

Collatz Trajectory (134 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,476,509 22,429,528 11,214,764 5,607,382 2,803,691 8,411,074 4,205,537 12,616,612 6,308,306 3,154,153 9,462,460 4,731,230 2,365,615 7,096,846 3,548,423 10,645,270 5,322,635 15,967,906 7,983,953 23,951,860 11,975,930 5,987,965 17,963,896 8,981,948 4,490,974 2,245,487 6,736,462 3,368,231 10,104,694 5,052,347 15,157,042 7,578,521 22,735,564 11,367,782 5,683,891 17,051,674 8,525,837 25,577,512 12,788,756 6,394,378 3,197,189 9,591,568 4,795,784 2,397,892 1,198,946 599,473 1,798,420 899,210 449,605 1,348,816 674,408 337,204 168,602 84,301 252,904 126,452 63,226 31,613 94,840 47,420

More profiles

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